Transpose the equation:
8x+6y=30
First minus 8x from each side of the equation.
6y=30-8x
Then divide each side by 6.
y=5-1.33x or if you want the answer in exact form:
y=5-4/3x
The slope is 4/3 or 1.333.
The expression that represents the number of days until only 10% remains is
T((d) 10%) = 100 • (1/2)^3.322
Answer:
There are 10⁻⁷ hydrogen ions in one-liter water
Step-by-step explanation:
Hi there!
a. If the pH = 7.0, then:
-log(H) = 7.0
multiply both sides of the equation by -1
log(H) = -7.0
Apply 10ˣ to both sides
10^(log (H)) = 10⁻⁷
(H) = 10⁻⁷
There are 10⁻⁷ hydrogen ions in one-liter water.
Why 10^(log (H)) = (H)?
Let´s consider this function:
y = 10^(log x)
(Apply log to both sides)
log y = log 10^(log x)
(Apply logarithmic property: log xᵃ = a · log x)
log y = log x · log 10
(log 10 = 1)
log y = log x
y = x
(since y = 10^(log x) and y = x):
10^(log x) = x
That´s why 10^(log (H)) = (H)
The line that is perpendicular to the line on the graph is y=3